90384 has 40 divisors (see below), whose sum is σ = 267840. Its totient is φ = 25728.

The previous prime is 90379. The next prime is 90397. The reversal of 90384 is 48309.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

90384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2⁹⁰³⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

90384 is an abundant number, since it is smaller than the sum of its proper divisors (177456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90384 is a wasteful number, since it uses less digits than its factorization.

90384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 90384 is about 300.6393187858. The cubic root of 90384 is about 44.8776925679.

It can be divided in two parts, 90 and 384, that added together give a palindrome (474).

The spelling of 90384 in words is "ninety thousand, three hundred eighty-four".